57435944953475 has 24 divisors (see below), whose sum is σ = 77710144156560. Its totient is φ = 41763545264000.

The previous prime is 57435944953469. The next prime is 57435944953537.

57435944953475 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-57435944953475 is a prime.

It is a super-2 number, since 2×57435944953475² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18698096 + ... + 21552045.

It is an arithmetic number, because the mean of its divisors is an integer number (3237922673190).

Almost surely, 2^{57435944953475} is an apocalyptic number.

57435944953475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57435944953475 is a deficient number, since it is larger than the sum of its proper divisors (20274199203085).

57435944953475 is a wasteful number, since it uses less digits than its factorization.

57435944953475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40255351 (or 40255346 counting only the distinct ones).

The product of its digits is 5715360000, while the sum is 74.

The spelling of 57435944953475 in words is "fifty-seven trillion, four hundred thirty-five billion, nine hundred forty-four million, nine hundred fifty-three thousand, four hundred seventy-five".